Simple Analytical Method for Determining Parameters of Discharging Batteries

This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new m...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on energy conversion 2011-09, Vol.26 (3), p.787-798
Hauptverfasser: Tingshu Hu, Zanchi, B., Jianping Zhao
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 798
container_issue 3
container_start_page 787
container_title IEEE transactions on energy conversion
container_volume 26
creator Tingshu Hu
Zanchi, B.
Jianping Zhao
description This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new method is to transform the problem of solving a system of high-order polynomial equations into one of solving several linear equations and a single-variable n th-order polynomial equation, via some change of variables. The computation can be implemented with a simple MATLAB code less than half-page long. Experimental and computational results are obtained for three types of batteries: Li-polymer, lead-acid, and nickel metal hydride. For all the tested batteries, the first-order models are not able to generate voltage responses that closely match the measured responses, while second-order models can generate well-matched responses. For some of the batteries, a third-order model can do a better job matching the voltage responses.
doi_str_mv 10.1109/TEC.2011.2129594
format Article
fullrecord <record><control><sourceid>proquest_RIE</sourceid><recordid>TN_cdi_proquest_miscellaneous_919922224</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>5754562</ieee_id><sourcerecordid>919922224</sourcerecordid><originalsourceid>FETCH-LOGICAL-c429t-9b81ef3d4284c9035c2f674a07aa456c46512c2353b42dfe5806ee7e09a0f7a03</originalsourceid><addsrcrecordid>eNpdUE1PAjEQbYwmIno38bLx4mlx2m132yMCfiQYTcRzU8oUluwHtsuBf283EA_OZTIz7728eYTcUhhRCupxMZuMGFA6YpQpofgZGVAhZAog1DkZgJQilSpXl-QqhC0A5YLRAZl_lfWuwmTcmOrQldZUyTt2m3aVuNYnU-zQ12VTNuvk03hT93NIWpdMy2A3xq_7y5Pp4rrEcE0unKkC3pz6kHw_zxaT13T-8fI2Gc9Ty5nqUrWUFF224kxyqyATlrm84AYKY7jILc8FZZZlIltytnIoJOSIBYIy4AoD2ZA8HHV3vv3ZY-h0He1gVZkG233QiirFYvGIvP-H3LZ7H38NWkqeF5ngvRwcQda3IXh0eufL2viDpqD7cHUMV_fh6lO4kXJ3pJSI-AcXhYj-WfYLSW10XQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>884673540</pqid></control><display><type>article</type><title>Simple Analytical Method for Determining Parameters of Discharging Batteries</title><source>IEEE Electronic Library (IEL)</source><creator>Tingshu Hu ; Zanchi, B. ; Jianping Zhao</creator><creatorcontrib>Tingshu Hu ; Zanchi, B. ; Jianping Zhao</creatorcontrib><description>This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new method is to transform the problem of solving a system of high-order polynomial equations into one of solving several linear equations and a single-variable n th-order polynomial equation, via some change of variables. The computation can be implemented with a simple MATLAB code less than half-page long. Experimental and computational results are obtained for three types of batteries: Li-polymer, lead-acid, and nickel metal hydride. For all the tested batteries, the first-order models are not able to generate voltage responses that closely match the measured responses, while second-order models can generate well-matched responses. For some of the batteries, a third-order model can do a better job matching the voltage responses.</description><identifier>ISSN: 0885-8969</identifier><identifier>EISSN: 1558-0059</identifier><identifier>DOI: 10.1109/TEC.2011.2129594</identifier><identifier>CODEN: ITCNE4</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Batteries ; Battery model ; Circuits ; Computation ; Computational modeling ; Discharge ; Electric potential ; Integrated circuit modeling ; linear algebraic equations ; Load modeling ; Mathematical analysis ; Mathematical model ; Mathematical models ; Matlab ; Polynomials ; Studies ; Thevenin's equivalent circuit ; Voltage</subject><ispartof>IEEE transactions on energy conversion, 2011-09, Vol.26 (3), p.787-798</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Sep 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c429t-9b81ef3d4284c9035c2f674a07aa456c46512c2353b42dfe5806ee7e09a0f7a03</citedby><cites>FETCH-LOGICAL-c429t-9b81ef3d4284c9035c2f674a07aa456c46512c2353b42dfe5806ee7e09a0f7a03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5754562$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5754562$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Tingshu Hu</creatorcontrib><creatorcontrib>Zanchi, B.</creatorcontrib><creatorcontrib>Jianping Zhao</creatorcontrib><title>Simple Analytical Method for Determining Parameters of Discharging Batteries</title><title>IEEE transactions on energy conversion</title><addtitle>TEC</addtitle><description>This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new method is to transform the problem of solving a system of high-order polynomial equations into one of solving several linear equations and a single-variable n th-order polynomial equation, via some change of variables. The computation can be implemented with a simple MATLAB code less than half-page long. Experimental and computational results are obtained for three types of batteries: Li-polymer, lead-acid, and nickel metal hydride. For all the tested batteries, the first-order models are not able to generate voltage responses that closely match the measured responses, while second-order models can generate well-matched responses. For some of the batteries, a third-order model can do a better job matching the voltage responses.</description><subject>Batteries</subject><subject>Battery model</subject><subject>Circuits</subject><subject>Computation</subject><subject>Computational modeling</subject><subject>Discharge</subject><subject>Electric potential</subject><subject>Integrated circuit modeling</subject><subject>linear algebraic equations</subject><subject>Load modeling</subject><subject>Mathematical analysis</subject><subject>Mathematical model</subject><subject>Mathematical models</subject><subject>Matlab</subject><subject>Polynomials</subject><subject>Studies</subject><subject>Thevenin's equivalent circuit</subject><subject>Voltage</subject><issn>0885-8969</issn><issn>1558-0059</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdUE1PAjEQbYwmIno38bLx4mlx2m132yMCfiQYTcRzU8oUluwHtsuBf283EA_OZTIz7728eYTcUhhRCupxMZuMGFA6YpQpofgZGVAhZAog1DkZgJQilSpXl-QqhC0A5YLRAZl_lfWuwmTcmOrQldZUyTt2m3aVuNYnU-zQ12VTNuvk03hT93NIWpdMy2A3xq_7y5Pp4rrEcE0unKkC3pz6kHw_zxaT13T-8fI2Gc9Ty5nqUrWUFF224kxyqyATlrm84AYKY7jILc8FZZZlIltytnIoJOSIBYIy4AoD2ZA8HHV3vv3ZY-h0He1gVZkG233QiirFYvGIvP-H3LZ7H38NWkqeF5ngvRwcQda3IXh0eufL2viDpqD7cHUMV_fh6lO4kXJ3pJSI-AcXhYj-WfYLSW10XQ</recordid><startdate>20110901</startdate><enddate>20110901</enddate><creator>Tingshu Hu</creator><creator>Zanchi, B.</creator><creator>Jianping Zhao</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><scope>L7M</scope><scope>F28</scope><scope>H8D</scope></search><sort><creationdate>20110901</creationdate><title>Simple Analytical Method for Determining Parameters of Discharging Batteries</title><author>Tingshu Hu ; Zanchi, B. ; Jianping Zhao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c429t-9b81ef3d4284c9035c2f674a07aa456c46512c2353b42dfe5806ee7e09a0f7a03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Batteries</topic><topic>Battery model</topic><topic>Circuits</topic><topic>Computation</topic><topic>Computational modeling</topic><topic>Discharge</topic><topic>Electric potential</topic><topic>Integrated circuit modeling</topic><topic>linear algebraic equations</topic><topic>Load modeling</topic><topic>Mathematical analysis</topic><topic>Mathematical model</topic><topic>Mathematical models</topic><topic>Matlab</topic><topic>Polynomials</topic><topic>Studies</topic><topic>Thevenin's equivalent circuit</topic><topic>Voltage</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tingshu Hu</creatorcontrib><creatorcontrib>Zanchi, B.</creatorcontrib><creatorcontrib>Jianping Zhao</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on energy conversion</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tingshu Hu</au><au>Zanchi, B.</au><au>Jianping Zhao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simple Analytical Method for Determining Parameters of Discharging Batteries</atitle><jtitle>IEEE transactions on energy conversion</jtitle><stitle>TEC</stitle><date>2011-09-01</date><risdate>2011</risdate><volume>26</volume><issue>3</issue><spage>787</spage><epage>798</epage><pages>787-798</pages><issn>0885-8969</issn><eissn>1558-0059</eissn><coden>ITCNE4</coden><abstract>This paper derives simple and explicit formulas for computing the parameters of Thevenin's equivalent circuit model for a discharging battery. The general Thevenin's equivalent circuit model has n pairs of parallel resistors and capacitors ( nth-order model). The main idea behind the new method is to transform the problem of solving a system of high-order polynomial equations into one of solving several linear equations and a single-variable n th-order polynomial equation, via some change of variables. The computation can be implemented with a simple MATLAB code less than half-page long. Experimental and computational results are obtained for three types of batteries: Li-polymer, lead-acid, and nickel metal hydride. For all the tested batteries, the first-order models are not able to generate voltage responses that closely match the measured responses, while second-order models can generate well-matched responses. For some of the batteries, a third-order model can do a better job matching the voltage responses.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TEC.2011.2129594</doi><tpages>12</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISSN: 0885-8969
ispartof IEEE transactions on energy conversion, 2011-09, Vol.26 (3), p.787-798
issn 0885-8969
1558-0059
language eng
recordid cdi_proquest_miscellaneous_919922224
source IEEE Electronic Library (IEL)
subjects Batteries
Battery model
Circuits
Computation
Computational modeling
Discharge
Electric potential
Integrated circuit modeling
linear algebraic equations
Load modeling
Mathematical analysis
Mathematical model
Mathematical models
Matlab
Polynomials
Studies
Thevenin's equivalent circuit
Voltage
title Simple Analytical Method for Determining Parameters of Discharging Batteries
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T14%3A44%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_RIE&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Simple%20Analytical%20Method%20for%20Determining%20Parameters%20of%20Discharging%20Batteries&rft.jtitle=IEEE%20transactions%20on%20energy%20conversion&rft.au=Tingshu%20Hu&rft.date=2011-09-01&rft.volume=26&rft.issue=3&rft.spage=787&rft.epage=798&rft.pages=787-798&rft.issn=0885-8969&rft.eissn=1558-0059&rft.coden=ITCNE4&rft_id=info:doi/10.1109/TEC.2011.2129594&rft_dat=%3Cproquest_RIE%3E919922224%3C/proquest_RIE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=884673540&rft_id=info:pmid/&rft_ieee_id=5754562&rfr_iscdi=true